Exponential Growth and Decay Word Problems

Front

In the formula y = a(1±r)ⁿ, what does the 'a' represent?

Back

The initial amount.

Front

Given the function f(x) = 1.07^x, what is the rate of growth?

Back

7%.

Front

If something changed at a rate of 5% every two minutes, what would 't' be for a time period of 35 minutes?

Back

17.5.

Front

Given the function f(x) = 1.07^x, is this a growth or decay function?

Back

Growth.

Front

If something changed at a rate of 3% per week, what would 't' be over a time of one year?

Back

52.

Front

What is the general formula for exponential growth?

Back

y = a(1 + r)^t.

Front

What is the general formula for exponential decay?

Back

y = a(1 - r)^t.

Front

In the context of exponential functions, what does 'r' represent?

Back

The rate of change (growth or decay rate).

Front

If a population of bacteria doubles every hour, what is the growth factor?

Back

2.

Front

What does it mean if a function has a negative exponent?

Back

It indicates decay.